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Finding the Fourth Proportional to 2,871.26, 4,307.31 and 922.82

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Solution

The fourth proportional to 2,871.26, 4,307.31 and 922.82 is: 1,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.26 : 4,307.31 = 922.82 : x
  2. Step 2: Convert to fraction form
    2,871.26/4,307.31 = 922.82/x
  3. Step 3: Cross multiply
    2,871.26x = 4,307.31 × 922.82
  4. Step 4: Simplify right side
    2,871.26x = 3,974,871.81
  5. Step 5: Solve for x
    x = 3,974,871.81/2,871.26
  6. Step 6: Final answer
    x = 1,384.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.